• Title/Summary/Keyword: operator.

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A Note on Maximal Entropy OWA Operator Weights

  • Hong, Dug-Hun;Kim, Kyung-Tae
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.2
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    • pp.537-541
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    • 2006
  • In this note, we give an elementary simple proof of the main result of $Full{\acute{e}}rand$ Majlender [Fuzzy Sets and systems 124(2001) 53-57] concerning obtaining maximal entropy OWA operator weights.

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A STUDY ON GENERALIZED QUASI-CLASS A OPERATORS

  • Kim, Geon-Ho;Jeon, In-Ho
    • Korean Journal of Mathematics
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    • v.17 no.2
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    • pp.155-159
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    • 2009
  • In this paper, we consider the operator T satisfying $T^{*k}({\mid}T^2{\mid}-{\mid}T{\mid}^2)T^k{\geq}0$ and prove that if the operator is injective and has the real spectrum, then it is self-adjoint.

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ON STRUCTURES OF CONTRACTIONS IN DUAL OPERATOR ALGEBRAS

  • Kim, Myung-Jae
    • Communications of the Korean Mathematical Society
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    • v.10 no.4
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    • pp.899-906
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    • 1995
  • We discuss certain structure theorems in the class A which is closely related to the study of the problems of solving systems concerning the predual of a dual operator algebra generated by a contraction on a separable infinite dimensional complex Hilbert space.

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A bounded convergence theorem for the operator-valued feynman integral

  • Ahn, Byung-Moo
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.465-475
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    • 1996
  • Fix t > 0. Denote by $C^t$ the space of $R$-valued continuous functions x on [0,t]. Let $C_0^t$ be the Wiener space - $C_0^t = {x \in C^t : x(0) = 0}$ - equipped with Wiener measure m. Let F be a function from $C^t to C$.

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A NON-UNICELLULAR OPERATOR

  • Kang, Joo-Ho;Joo, Young-Soo
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.411-418
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    • 2000
  • In this paper, we want to give an operator which is not unicellular. We try to prove the non-unicellularity of the operator by using the method given in [8].

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Remarks on volterra equations in Banach spaces

  • Kim, Mi-Hi
    • Communications of the Korean Mathematical Society
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    • v.12 no.4
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    • pp.1039-1064
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    • 1997
  • Existence and Uniqueness for Volterra equations (VE) with a weak regularity assumption on A, the relative closedness of A are investigaed by means of the Laplace transform theory. Also, (VE) are studied by means of the method of convoluted solution operator families.

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ON A DECOMPOSITION OF MINIMAL COISOMETRIC EXTENSIONS

  • Park, Kun-Wook
    • Communications of the Korean Mathematical Society
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    • v.9 no.4
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    • pp.847-852
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    • 1994
  • Let $H$ be a separable, infinite dimensional, complex Hilbert space and let $L(H)$ be the algebra of all bounded linear operator on $H$. A dual algebra is a subalgebra of $L(H)$ that contains the identity operator $I_H$ and is closed in the ultraweak operator topology on $L(H)$.

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A STRUCTURE THEOREM FOR $p$-HYPONORMAL CONTRACTIONS

  • Lee, Mi-Young;Lee, Sang-Hun
    • Communications of the Korean Mathematical Society
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    • v.13 no.1
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    • pp.21-27
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    • 1998
  • In this paper we prove a structure theorem for p-hyponomal contractions and also give an example of a p-hyponormal operator which is not *-paranormal.

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